Answer:
The larger number is -6, the smaller number is -15
Step-by-step explanation:
We have two numbers, a and b.
We know that one number is larger than another by 9.
Then we can write:
a = b + 9
then a is larger than b by 9 units.
If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:
(a + 10) + 3*b = -41
So we got two equations:
a = b + 9
(a + 10) + 3*b = -41
This is a system of equations.
One way to solve this is first isolate one variable in one of the two equations:
But we can see that the variable "a" is already isolated in the first equation, so we have:
a = b + 9
now we can replace that in the other equation:
(a + 10) + 3*b = -41
(b + 9) + 10 + 3*b = -41
now we can solve this for b.
9 + b + 10 + 3b = -41
(9 + 10) + (3b + b) = -41
19 + 4b = -41
4b = -41 -19 = -60
b = -60/4 = -15
b = -15
then:
a = b + 9
a = -15 + 9 = -6
a = -6
The expression would be:
3x
x=number of plays
Insert 4:
3(4)
=12
They would 12 yards after 4 plays if losing 3 yards every play.
<h2>
Answer:</h2>
<u>The value of </u><u>p :M/9m</u>
<h2>Explanation:</h2>
As we have been given value of M
Value of M=9pm
So we can find value of p from here by simple mathematics rule
M=9pm
divide both side with 9m so
M/9m=9pm/9m
we get value of p so M/9m=p.
we can write it as p=M/9m
Answer:
I don't know how to do it the question
9514 1404 393
Answer:
a. x + 4y = 160
b. 160
c. 40
Step-by-step explanation:
a. We can define the variables as ...
x = number of 1/2-liter bottles
y = number of 2-liter bottles
For the total number of liters to be 80, we require
1/2x + 2y = 80
We can multiply this by 2 to eliminate the fraction.
x + 4y = 160
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b. The x-intercept is 160. It is the number of 1/2-liter bottles required when no 2-liter bottles are used.
__
c. The y-intercept is 40. It is the number of 2-liter bottles required when no 1/2-liter bottles are used.
